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3 years ago

What is the interquartile range for the data set?

Mathematics

2 answers:

krek1111 [17]3 years ago

7 0

51 my dude ..................

harkovskaia [24]3 years ago

4 0

Answer:

Step-by-step explanation:

Verified correct with K12 test.

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Solve for x. And graph 7(3x+4)+2<156

blsea [12.9K]

$7(3 \times x + 4) + 2 < 156 \\ 21 \times x + 28 + 2 < 156 \\ 21 \times x + 30 < 156 \\ 21 \times x < 156 - 30 \\ 21 \times x < 126 \\ x < \frac{126}{21} \\ x < 6$

8 0

4 years ago

119/30 Simplified please help this is urgent

chubhunter [2.5K]

14/3 or 4(2/3) is the answer

7 0

3 years ago

Read 2 more answers

Synthetic division And the Remainder theorem

stealth61 [152]

The remainder theorem says that if $x-c$ is a factor of a polynomial $p(x)$ , then the remainder upon dividing $\dfrac{p(x)}{x-c}$ is 0 so that there exists a lower degree polynomial $q(x)$ as the quotient:

$\dfrac{p(x)}{x-c}=q(x)$

Using the fact that $x-2$ is a factor, you can find a quadratic $q(x)$ which is easy to factorize further.

Synthetic division yields

$q(x)=4x^2+4x-8$

which can be factored further as

$4(x^2+x-2)=4(x+2)(x-1)$

So,

$f(x)=4x^3-4x^2-16x+16=4(x-2)(x+2)(x-1)$

The roots are then $x=-2,1,2$ .

6 0

3 years ago

Read 2 more answers

at the fast food restaurant, four cheeseburgers and five small fries have a total of 2,310 calories. three cheeseburgers and two

qwelly [4]

Answer:

There are 230 calories in each cheeseburger and 290 calories in each small fries.

Step-by-step explanation:

Let us assume:

The calories in each cheeseburger = x

The calories in each small fries = y

So, the calories in 4 cheeseburger

=4 (calories in 1 cheeseburger ) = 4 x

and the calories in 5 small fries = 5(calories in 1 small fries ) =5 y

⇒ 4 x + 5 y = 2310

Similarly, calories in 3 cheeseburger

= 3 ( calories in 1 cheeseburger ) = 3 x

and the calories in 2 small fries = 2 (calories in 1 small fries )= 2 y

⇒ 3 x + 2 y = 1330

Solving the given system of equation:

4 x + 5 y = 2310 ............(1)

3 x + 2 y = 1330 ............. (2)

Multiply equation (1) with (-3) , and (2) by 4 and add both equation.

-12 x - 15 y + 12 x + 8 y = -6930 + 5320

or, - 7 y = -1610

⇒ y = 1610 / 7 = 230 , or y = 230

Putting this in (2) , we get 3 x + 2 y = 1330

⇒ 3 x + 2(230) = 1330 or, 3 x = 1330 - 460 = 870

or, x = 870/3 = 290

⇒ x = 290

Hence, there are 230 calories in each cheeseburger.

There are 290 calories in each small fries.

3 0

4 years ago

Evaluate 5214 ÷ 39

Andreas93 [3]

Answer: $133\frac{9}{13}$ or $\frac{1738}{13}$ or 133.7 (any three are correct)

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

<h2>Problem: Evaluate 5214 ÷ 39</h2>

Step 1: 5214 / 39 = 133 with a remainder of 27.

133 with a remainder of 27

Because 39 is what we will be dividing it by, it will be our denominator.

Step 2: Express as a mixed fraction.

$133\frac{27}{39}$

Step 3: Simplify by dividing the denominator/numerator by 3.

$133\frac{9}{13}$ or $\frac{1738}{13}$ or 133.7

~I hope I helped you! :)~

3 0

3 years ago